Question

p2 - p - 6
--------------
p - 3​

Answer 1

Answer:

I don't new answer sorry

Answer 2

Step-by-step explanation:

Changes made to your input should not affect the solution:

(1): "p2" was replaced by "p^2".

STEP

1

:

Trying to factor by splitting the middle term

1.1 Factoring p2-p-6

The first term is, p2 its coefficient is 1 .

The middle term is, -p its coefficient is -1 .

The last term, "the constant", is -6

Step-1 : Multiply the coefficient of the first term by the constant 1 • -6 = -6

Step-2 : Find two factors of -6 whose sum equals the coefficient of the middle term, which is -1 .

-6 + 1 = -5

-3 + 2 = -1 That's it

Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -3 and 2

p2 - 3p + 2p - 6

Step-4 : Add up the first 2 terms, pulling out like factors :

p • (p-3)

Add up the last 2 terms, pulling out common factors :

2 • (p-3)

Step-5 : Add up the four terms of step 4 :

(p+2) • (p-3)

Which is the desired factorization

Final result :

(p + 2) • (p - 3)